“I don’t know how you abolish an agency without abolishing the function, and I think the function is necessary,” King said, adding Congress should “absolutely” examine ICE.

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“There has to be some agency to administer the immigration laws in the country. But taking a look at how they’re doing it, how they’re approaching it … there are a lot of questions to be answered,” he said.

ICE has emerged at the forefront of the Trump administration's efforts to crack down on illegal immigration. The agency has made headlines in recent months for its detention strategies, such as when it took a man into custody while he was delivering a pizza or when it apprehended a legal resident who had lived in the U.S. for 50 years.

Immigration advocates have started "Occupy ICE" protests in recent days calling for an end to the agency, as well as additional reforms.

King said Sunday that he doesn't believe the government should go as far as to eliminate the agency.

"I don’t know if I say abolish, I don’t think that makes a lot of sense," he said. "But I do think looking at it makes a hell of a lot of sense."